کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4583494 1333908 2008 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators
چکیده انگلیسی

We consider metric results for the asymptotic behavior of the number of solutions of Diophantine approximation inequalities with restricted denominators for Laurent formal power series with coefficients in a finite field. We especially consider approximations by rational functions whose denominators are powers of irreducible polynomials, and study the strong law of large numbers for the number of solutions of the inequalities under consideration.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 14, Issue 4, November 2008, Pages 849-866